The Restless Universe Applications of Gravitational N-Body Dynamics to Planetary Stellar and Galactic Systems

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CRC Press, May 7, 2019 - Science - 648 pages
The Restless Universe: Applications of Gravitational N-Body Dynamics to Planetary Stellar and Galactic Systems stimulates the cross-fertilization of ideas, methods, and applications among the different communities who work in the gravitational N-body problem arena, across diverse fields of astrophysics. The chapters and topics cover three broad the
 

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Contents

Nbody simulations of the Solar System planet formation and galaxy clusters
1
On the Trojan problem
21
Ideal resonance and Melnikovs theorem
43
The Yarkovsky effect in the dynamics of the Solar System
53
Are science and celestial mechanics deterministic? Henri Poincare philosopher and scientist
77
Regularisation methods for the Nbody problem
91
Escape in Hills problem
107
from kinematics to dynamics
127
past present and future
215
Gravitational Nbody simulation of largescale cosmic structure
237
Periodic orbits of the planar Nbody problem with equal masses and all bodies on the same path
251
Central configurations revisited
271
Surfaces of separation in the Caledonian symmetrical double binary four body problem
287
The Fast Lyapunov Indicator
313
Determination of chaotic attractors in short discrete time series
325
Nonintegrability in gravitational and cosmological models
347

Nonintegrable galactic dynamics
143
Evolution of galaxies due to selfexcitation
165
Dynamical methods for reconstructing the large scale galaxy density and velocity fields
189
Index
373
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Steves, Bonnie

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